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Finding the Fourth Proportional to 3,000.10, 4,502.17 and 1,052.32

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Solution

The fourth proportional to 3,000.10, 4,502.17 and 1,052.32 is: 1,579.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.10 : 4,502.17 = 1,052.32 : x
  2. Step 2: Convert to fraction form
    3,000.10/4,502.17 = 1,052.32/x
  3. Step 3: Cross multiply
    3,000.10x = 4,502.17 × 1,052.32
  4. Step 4: Simplify right side
    3,000.10x = 4,737,723.53
  5. Step 5: Solve for x
    x = 4,737,723.53/3,000.10
  6. Step 6: Final answer
    x = 1,579.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.